Home
Class 12
MATHS
If f(a+b-x) = f(x), then inta^b x f(x) d...

If `f(a+b-x) = f(x)`, then `int_a^b x f(x) dx` is equal to:

A

`(a+b)/(2) int_(a)^(b) f(b-x)dx`

B

`(a+b)/(2) int_(a)^(b) f(b+x)dx`

C

`(b-a)/(2) int_(a)^(b) f(x)dx`

D

`(a+b)/(2) int_(a)^(b) f(x)dx`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    OMEGA PUBLICATION|Exercise Important Questions from Miscellaneous Exercise |20 Videos

  • HP BOARD MARCH 2017

    OMEGA PUBLICATION|Exercise SERIES -C|78 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    OMEGA PUBLICATION|Exercise Multiple Choice Questions |20 Videos

Similar Questions

Explore conceptually related problems

int_(a+c)^(b+c)f(x)dx is equal to

If intf(x)dx=f(x), then int{f(x)}^2dx is equal to

int e^x(f(x)+f'(x))dx is equal to :

If int f(x)dx=F(x), then intx^3f(x^2)dx is equal to :

If f and g are continuous functions in [0, 1] satisfying f(x) = f(a-x) and g(x) + g(a-x) = a , then int_(0)^(a)f(x)* g(x)dx is equal to

Let f: R rarr R be a continuous function given by f(x+y)=f(x)+f(y) for all x,y, in R, if int_0^2 f(x)dx=alpha, then int_-2^2 f(x) dx is equal to